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An improved parameter regula falsi method for enclosing a zero of a function - MaRDI portal

An improved parameter regula falsi method for enclosing a zero of a function (Q2907855)

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scientific article; zbMATH DE number 6080686
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An improved parameter regula falsi method for enclosing a zero of a function
scientific article; zbMATH DE number 6080686

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    11 September 2012
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    regula falsi method
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    interval analysis
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    inner iterations
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    algorithm
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    numerical results
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    rate of convergence
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    An improved parameter regula falsi method for enclosing a zero of a function (English)
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    An improved parameter regula falsi method (\(p(l)\)-RF) based on a direct generalization of the interval parameter regula falsi \(p\)-RF method is proposed. This method is modified by using the midpoint of the current interval in the algorithm and the additional inner iterations \(l\) to improve its rate of convergence. This modification on \(p\)-RF method is verified by the help of test examples. The numerical results and CPU time of \(p(l)\)-RF method validate its performance compared with the original method.
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